Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709367 | Applied Mathematics Letters | 2009 | 4 Pages |
Abstract
We study a semilinear hyperbolic problem, written as a second-order evolution equation in an infinite-dimensional Hilbert space. Assuming existence of the global attractor, we estimate its fractal dimension explicitly in terms of the data. Despite its elementary character, our technique gives reasonable results. Notably, we require no additional regularity, although nonlinear damping is allowed.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Miroslav Bulíček, Dalibor Pražák,